Number System Ques 19
Question
Which of the following is the smallest? (You are not expected to calculate the exact value)
(1) $\left(\frac{5}{9} \text { of } 1250\right)^{\frac{1}{2}}$
(2) $\left(\frac{7}{13} \text { of } 4112\right)^{\frac{1}{3}}$
(3) $\left(\frac{5}{19} \text { of } 3221\right)^{\frac{1}{2}}$
(4) $\left(\frac{15}{11} \text { of } 412\right)^{\frac{1}{2}}$
(5) $\left(\frac{17}{13} \text { of } 3444\right)^{\frac{1}{3}}$
(IDBI Bank Officer Exam. 16.09.2012)
Show Answer
Answer: (4)
Solution: (4)
Solving by options
(1) $\left(1250 \times \frac{5}{9}\right)^{\frac{1}{2}}=\left(\frac{6250}{9}\right)^{\frac{1}{2}} = (694.44)^{\frac{1}{2} }\approx 26$
(2) $\left(4112 \times \frac{7}{13}\right)^{\frac{1}{3}} =\left(\frac{28784}{13}\right)^{\frac{1}{3}} = (2214.16)^{\frac{1}{3} } \approx 13$
(3) $\left(3221 \times \frac{5}{19}\right)^{\frac{1}{2}} = (847.63)^{\frac{1}{2} }\approx 29$
(4) $\left(412 \times \frac{15}{11}\right)^{\frac{1}{2}} = (561.81)^{\frac{1}{2} } \approx 24$
(5) $\left(3444 \times \frac{17}{13}\right)^{\frac{1}{3}} = (4503.69)^{\frac{1}{3} } \approx 16.5$
BETA
